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Finding the Fourth Proportional to 790.77, 1,184.55 and 400.23

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Solution

The fourth proportional to 790.77, 1,184.55 and 400.23 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.77 : 1,184.55 = 400.23 : x
  2. Step 2: Convert to fraction form
    790.77/1,184.55 = 400.23/x
  3. Step 3: Cross multiply
    790.77x = 1,184.55 × 400.23
  4. Step 4: Simplify right side
    790.77x = 474,092.45
  5. Step 5: Solve for x
    x = 474,092.45/790.77
  6. Step 6: Final answer
    x = 599.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.